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Finding the Fourth Proportional to 212,695.82, 293,526.40 and 117,208.68

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Solution

The fourth proportional to 212,695.82, 293,526.40 and 117,208.68 is: 161,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,695.82 : 293,526.40 = 117,208.68 : x
  2. Step 2: Convert to fraction form
    212,695.82/293,526.40 = 117,208.68/x
  3. Step 3: Cross multiply
    212,695.82x = 293,526.40 × 117,208.68
  4. Step 4: Simplify right side
    212,695.82x = 34,403,841,889.15
  5. Step 5: Solve for x
    x = 34,403,841,889.15/212,695.82
  6. Step 6: Final answer
    x = 161,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.